Power calculations are rarely done by hand. Instead, researchers normally refer to tables of critical values in much the same way that tables of critical values for t, F, and other statistics were once used to assess statistical significance.
A far easier way to run a power analysis is to use a power calculator or a computer program such as G*Power (Faul et al. 2007). At the time of writing the latest version of this freeware program was G*Power which runs on both Windows and Apple operating systems. This user-friendly program can be used to run all types of power analysis for a variety of distributions. Using the interface you select the outcome of interest (e.g., minimum sample size), indicate the test type, input the parameters (e.g., the desired power and alpha levels), then click “calculate” to get an answer.
For some step-by-step examples done using G*Power, complete with screenshots, check out my book Statistical Power Trip:
Daniel Soper of Arizona State University has several easy-to-use calculators for all sorts of statistical calculations including power analyses relevant for multiple regression.
Russ Lenth of the University of Iowa has a number of intuitive Java applets for running power analyses here.
The calculation of statistical power for multiple regression equations featuring categorical moderator variables requires some special considerations, as explained by Aguinis et al. (2005).